-4x + 3y = -2
Y = x - 1
Answer:
(-1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define
-4x + 3y = -2
y = x - 1
Step 2: Solve for x
Substitution
Substitute in y: -4x + 3(x - 1) = -2[Distributive Property] Distribute 3: -4x + 3x - 3 = -2Combine like terms: -x - 3 = -2[Addition Property of Equality] Add 3 on both sides: -x = 1[Division Property of Equality] Divide -1 on both sides: x = -1Step 3: Solve for y
Substitute in x [Original Equation]: y = -1 - 1Subtract: y = -2Can someone help me. Can you show work. Please don’t answer anything that isn’t related, I’ll report or flagged you if u do.
Answer:
Yes, Chris will score.
Step-by-step explanation:
To get the ball in the goal, the ball must be below 8ft (the height of the goal) when the ball passes the 25ft mark; ie, Chris will score if f(x)<8 when x=25:
f(x)=-0.05(x-16)²+11
f(25)=-0.05(25-16)²+11
=-0.05(9²)+11
=-0.05(81)+11
=11-4.05
=6.95
Since 6.95<8, we can see that Chris will score if Deshawn doesn't block the ball.
Mr. Brady is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. Clue 2 says that Clue 3 is located 5 units south of the flagpole. N -4 -2 o N 4 6 X -2 -4 Plot the locations of the flagpole and the 3 clues on the coordinate grid and show the path students will follow with straight lines. Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 to Clue 3? Round to the nearest foot if necessary.
Answer:
The figure is attached and the total distance is 1031 feet.
Step-by-step explanation:
The graph is indicated in the attached figure.
For calculation of distance consider following
Point Flagpole is (0,0)
Point Clue1 is (0,5)
Point Clue2 is (6,0)
Point Clue3 is (0,-5)
So the distance is calculated as follows
[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values
[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]
So the total distance travelled is 1031 feet.
Find the center and radius of the circle represented by the equation below. 100pts
Answer:
centre = (- 5, - 2 ) , radius r = 18
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
(x + 5)² + (y + 2)² = 324 ← is in standard form , that is
(x - (- 5))² + (y - (- 2))² = 18²
with centre = (- 5, - 2 ) and r = 18
Answer:
Center = (-5, -2)
Radius = 18
Step-by-step explanation:
The equation of a circle in standard form is:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]
If we compare the given equation of (x + 5)² + (y + 2)² = 324 to the standard form, we get:
h = -5y = -2r² = 324Therefore, the center of the circle is (-5, -2).
To find the radius, square root 324:
[tex]r^2=324 \implies r=\sqrt{324}=18[/tex]
Therefore, the radius of the circle is 18.
Which of the following is NOT a solution to the system of inequalities?
Answer:
(2;-2)
Step-by-step explanation:
for more details see the attached picture.
What are the zeros of the function f (2) = 12 (2 + 4)?
A. (0,0) and (-4, 0)
B. (1, 0) and (-4, 0)
C. (1, 0) and (4, 0)
D. (0,0) and (4, 0)
Answer:
A. (0,0) and (-4, 0)
Step-by-step explanation:
f (2) = 12 (2 + 4)
f (x) = 12 (x + 4)
x + 4 = 0
x = -4
12 = (0,0)
The 12 is on the outside and is multiplied to x + 4 so the 12 is considered a zero.
(0, 0) and (-4,0)
How can I find the unknown side lengths when given the area or circumference of a figure?
Answer:
Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.
Step-by-step explanation:
For example,
Find the side length of a square with an area of 49 square centimeters.
Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]
first one how you do it and the second one is the problem
Johnny was able to drive an average of 29 miles per hour faster on his car after the traffic cleared. He drove 30 miles in traffic before it cleared and the drove another 176 miles. If the total trip took 6 hours, then what was his average speed in traffic?
Answer:
15 mph
Step-by-step explanation:
Before traffic cleared:
distance = 30 miles
average speed = s
time = t
d = st
30 = st
After traffic cleared:
distance = 176 miles
average speed = s + 29
time = 6 - t
d = st
176 = (s + 29)(6 - t)
30 = st
s = 30/t
176 = (30/t + 29)(6 - t)
176t = (30 + 29t)(6 - t)
176t = 180 - 30t + 174t - 29t^2
29t^2 + 32t - 180 = 0
(29t + 90)(t - 2) = 0
t = -90/29 or t = 2
Time must be a positive number, so we discard the solution t = -90/29.
t = 2
30 = st
30 = s * 2
s = 15
Answer: 15 mph
Scott wants to put soil in his garden shown below. If soil comes in bags that fill 3 square yards each, how many bags of soil should Scott buy
Answer:
5
Step-by-step explanation:
Becuase his backyard is 15 square yards.
Write an expression to m + m + m + m that is the sum of two terms
Answer: 2m + 2m
Step-by-step explanation: m + m is 2m and the same for the other two m's which is why m + m + m + m is 2m + 2m
Answer and Step-by-step explanation:
The obvious answer to this question is 2m + 2m, or 3m + m.
These expressions show two terms that can be added together.
#teamtrees #PAW (Plant And Water)
I see a Dreamer over there by the water.
twitch.tv/Tommyinnit
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
−3i√2
Yeah pretty sure that is right
If 5% of a number equals 8, find 50% of that number.
Answer:
80 will be the answer.
Step-by-step explanation:
Let the number be x.
5% of x=8
(5/100)*x=8
x=(8*100)/5
x=160
Now,
50% of 160
=(50/100)*160
=80
What is fraction is equal 54%
Answer:
27/50
20 character minimum
During final exams 172 students visited the math lab in total. If 4 out of 11 were male what is the percentage of female students who visited the math lab? (Round to the nearest tenth).
Answer:
110%
Step-by-step explanation:
During final exam, 172 students visited the math lab in total.
4 out of 11 were male. It means, females are 11-4 = 7. So, the percentage of female students who visited the math lab is :
[tex]F=\dfrac{7}{11}\times 172\\\\F=109.4\%\\\\=110\%[/tex]
Hence, this is the required solution.
HELP WITH MATHHH!!!!!!!!!!
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = cos x, [, 3]
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that
f '(c) = 0.
(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
c =
Answer:
pick faster
Step-by-step explanation:
Pls help me marking brainliest.
Answer:
The following statements are true.
A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal.
The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively.
The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.
Step-by-step explanation:
I'm not an ace nor a genius but here are the correct answers (again)..
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles
Find c in this special right triangle. *
Please help it’s due in an hour!
Answer:
Step-by-step explanation:
A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.
What is the least number of tables needed to seat the group?
Answer:
7
Step-by-step explanation:
37 People / 6 is 6.18 Rounded up is 7
The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.3 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.)
Answer:
the value of the test statistic is 2.43
Step-by-step explanation:
The computation of the value of the test statistic is shown below:
[tex]z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }[/tex]
[tex]= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}[/tex]
= 2.43
Hence, the value of the test statistic is 2.43
The same would be considered and relevant by applying the above formula
haley puts these 12 tiles in a bag and shakes the bag.Then she picks a tile at random.What is the probability she picks a tile that is multiple of 3
Answer:
1 in 3 chance
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12
This means there are 4 multiples.
4/12 or 4 ÷ 12 = 1/3
So there is a 1 in 3 chance (33.333%) to get a multiple of 3
Ellie is an African elephant. When she was born, she weighed about 200 pounds. As an adult, she weighs 7 tons! How many pounds did Ellie gain over her lifetime?
Answer:
13,800 pounds
Step-by-step explanation:
one ton = 2000 pounds
7 tons = 14,000 pounds
14,000 - 200 = 13,800 pounds
I BEG FOR MY LIFE EZ PLS
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Answer:
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:
A) 7*3*5 = 105
B) 8*9*1 = 72
C) 3*8*4 = 96
D) 12*3*2 = 72
E) 3*4*5 = 60
Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.
how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question
Answer:
Just be yourself.
Step-by-step explanation:
You might get different answers, but this one is something you should definitely do!
Hope this helped...have a great day <3
Answer:
I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.
Step-by-step explanation:
being yourself is probably why he will like you back.
I think the answer is complementary angles but I’m not sure. HELP! Thanks (:
Answer:
Angle 3 is greater than angle 4
TrUsT mE
Answer:
2nd option..... Angles 3 and 4 are complementary Angles.
HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?
Answer:
3/5
Step-by-step explanation:
favorable outcomes/total number of outcomes=probability
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Previous extractions do not influence the probability
Gordon decided on purchasing a $141,000 home. At closing he brought a check for $7570. The closing costs were as follows: Title Fee $545 Processing Fee $2100 Appraisal $695 Based on this information, how many points did Gordon purchase? O A. 2 B. O C. 1 OD. 3
Answer:
D. 3 points purchased
Step-by-step explanation:
Took the bullet
Option D is correct, based on the information Gordon purchased 3 point
What is Fraction?A fraction represents a part of a whole.
Given that Gordon decided on purchasing a $141,000 home.
At closing he brought a check for $7570.
One point is equal to 3% of the total loan amount, so the cost of one point would be:
Cost of one point = 3% of $130,090
Cost of one point = $3,902.70
To find out how many points Gordon purchased
we need to divide the total cost of points by the cost of one point:
Number of points = Total cost of points / Cost of one point
Number of points = $10,910 / $3,902.70
Number of points = 2.8
=3
Therefore, based on the information Gordon purchased 3 points, Option D is correct.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
Is 2,12 4,24 6,36 8,48 10,60 proportional
Answer:
Yes
Step-by-step explanation:
12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.
All answers have 6 so yes it is proportional.